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Finding the Fourth Proportional to 215,794.55, 323,891.45 and 109,253.36

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Solution

The fourth proportional to 215,794.55, 323,891.45 and 109,253.36 is: 163,981.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,794.55 : 323,891.45 = 109,253.36 : x
  2. Step 2: Convert to fraction form
    215,794.55/323,891.45 = 109,253.36/x
  3. Step 3: Cross multiply
    215,794.55x = 323,891.45 × 109,253.36
  4. Step 4: Simplify right side
    215,794.55x = 35,386,227,022.05
  5. Step 5: Solve for x
    x = 35,386,227,022.05/215,794.55
  6. Step 6: Final answer
    x = 163,981.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.